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Journal of Jianghan University

A Simple Scheme of Realization of Deutsch-Jozsa Algorithm under Thermal Cavity Condition

Song Ming-yu

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

A simple scheme is proposed to implement the Deutsch-Jozsa algorithm based on two-atom interaction in a thermal cavity.The photon-number-dependent parts in the evolution operator are cancelled with the strong resonant classical field added.It does not need to remain the cavity in the vacuum state throughout the procedure.Besides,large detuning between the atoms and the cavity is not necessary either,leading to speed up of quantum operation.Finally,proved by numerical simulation that the proposed scheme has high fidelity.

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A simple scheme is proposed to implement the Deutsch-Jozsa algorithm based on two-atom interaction in a thermal cavity.The photon-number-dependent parts in the evolution operator are cancelled with the strong resonant classical field added.It does not need to remain the cavity in the vacuum state throughout the procedure.Besides,large detuning between the atoms and the cavity is not necessary either,leading to speed up of quantum operation.Finally,proved by numerical simulation that the proposed scheme has high fidelity.
We present a simple scheme to implement the Deutsch–Jozsa algorithm based on two-atom interaction in a thermal cavity. The photon-number-dependent parts in the evolution operator are cancelled with the strong resonant classical field added. As a result, our scheme is immune to the thermal field, and does not require the cavity to remain in the vacuum state throughout the procedure. Besides, large detuning between the atoms and the cavity is not necessary either, leading to potential speed up of quantum operation. Finally, we show by numerical simulation that the proposed scheme is equal to demonstrate the Deutsch–Jozsa algorithm with high fidelity.
A scheme for the implementation of the two-qubit Deutsch-Jozsa algorithm using cavity QED was proposed.The advantages of the proposal are demonstrated as follows.One is that the cavity feld is only virtually excited and the photon-number-dependent part in the effective Hamiltonian is cancelled so that the system is insensitive to the cavity decay and the thermal field.The other one is that we don't require any Hadamard operation,which makes the schematic setup simple.Therefore,the present scheme is available based on the current technologies.
A scheme is reported for generating a multi-atom cluster state in thermal cavities, which is based on the simultaneous interaction of two two-level atoms with a single-mode cavity field driven by a classical field. The photon-number-dependent parts in the evolution operator are cancelled with the assistant of a strong classical field, so the scheme is insensitive to the thermal field. In the present scheme, the detuning between the atoms and the cavity is equal to the atom-cavity coupling strength, thus the operation speed is greatly improved, which is important in view of decoherence.
We propose a scheme for realizing two-qubit quantum phase gates with atoms in a thermal cavity. The photon-number-dependent parts in the evolution operator are canceled with the assistant of a strong classical field. Thus the scheme is insensitive to the thermal field. In the scheme the detuning between the atoms and the cavity is equal to the atom-cavity coupling strength and thus the gates operate at a high speed, which is also important in view of decoherence. The scheme can be generalized to generate multiatom-entangled states with a thermal cavity.